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is_kl_connected(G, k, l, low_memory=False)[source]

Returns True if and only if G is locally (k, l)-connected.

A graph is locally (k, l)-connected if for each edge (u, v) in the graph there are at least l edge-disjoint paths of length at most k joining u to v.

  • G (NetworkX graph) – The graph to test for local (k, l)-connectedness.
  • k (integer) – The maximum length of paths to consider. A higher number means a looser connectivity requirement.
  • l (integer) – The number of edge-disjoint paths. A higher number means a stricter connectivity requirement.
  • low_memory (bool) – If this is True, this function uses an algorithm that uses slightly more time but less memory.

Whether the graph is locally (k, l)-connected subgraph.

Return type: